Cahiers du CEREMADE

Unité Mixte de Recherche du C.N.R.S. N°7534
 
Abstract : This paper is devoted to the study of stationary solutions of a system of drift-diffusion (with a nonlinear diffusion and a doping profile) equations coupled by Poisson's equation. These equations are used in semi-conductor theory. We prove existence and uniqueness results and study the (singular) insulator limit, in which two different regimes may appear, one of which has depletion zones. The approach is based on a detailed study of convexity properties, especially of the relative entropy functional which is ordinarily used for the study of evolution problems.
 
 
ON SINGULAR LIMITS OF MEAN-FIELD EQUATIONS
DOLBEAULT Jean, MARKOWICH Peter, UNTERREITER Andreas
2000-33
07-09-2000
 
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